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Pertanyaan

Tentukan hasil pembagian akar-akar bilangan berikut!

h. 6 square root of 2 a end root divided by square root of 6        

E. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Jawaban

hasil dari 6 square root of 2 a end root divided by square root of 6 equals 2 square root of 3 a end root.

Pembahasan

Ingat kembali sifat pembagian akar berikut!

Jika a space dan space b sebarang bilangan bulat, maka berlaku:

square root of a divided by square root of b equals square root of a divided by b end root  

Dengan rumus di atas, diperoleh perhitungan sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell 6 square root of 2 a end root divided by square root of 6 end cell equals cell square root of 6 squared cross times 2 a end root divided by square root of 6 end cell row blank equals cell square root of 36 cross times 2 a end root divided by square root of 6 end cell row blank equals cell square root of 72 a end root divided by square root of 6 end cell row blank equals cell square root of 72 a divided by 6 end root end cell row blank equals cell square root of 12 a end root end cell row blank equals cell square root of 4 cross times 3 a end root end cell row blank equals cell 2 square root of 3 a end root end cell end table          

Jadi, hasil dari 6 square root of 2 a end root divided by square root of 6 equals 2 square root of 3 a end root.

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